Results 11 to 20 of about 229,870 (85)
Solvable and supersolvable groups in which every element is conjugate to its inverse [PDF]
Pacific Journal of Mathematics, 1971 J. L. Berggren
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Supersolvable automorphism groups of solvable groups
Mathematische Zeitschrift, 1983 A. Turull
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On solvable groups with one vanishing class size [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020 Let G be a finite group, and let cs(G) be the set of conjugacy class sizes of G. Recalling that an element g of G is called a vanishing element if there exists an irreducible character of G taking the value 0 on g, we consider one particular subset of cs(
M. Bianchi +3 more
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A result on s-semipermutable subgroups of finite groups and some applications [PDF]
Communications in Algebra, 2022 –Let p be a prime number, G be a p-solvable finite group and P be a Sylow p-subgroup of G. We prove that G is p-supersolvable if is p-supersolvable and if there is a subgroup H of P with such that H is s-semipermutable in G.
F. Aseeri, J. Kaspczyk
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A note on non-solvable groups with given number of particular subgroups
Proceedings of the Romanian Academy. Series A Mathematics, Physics, Technical Sciences, Information ScienceConsidering the quantitative properties of some particular subgroups of a finite group, we prove that (1) a non-solvable group $G$ has exactly 5 non-subnormal non-supersolvable proper subgroups if and only if $G\cong A_5$ or $SL_2(5)$. (2) a non-solvable
Jiangtao Shi, Fanjie Xu, Yifan Liu
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The first Hochschild cohomology as a Lie algebra
, 2019 In this paper we study sufficient conditions for the solvability of the first Hochschild cohomology of a finite dimensional algebra as a Lie algebra in terms of its Ext-quiver in arbitrary characteristic.
Degrassi, Lleonard Rubio y +2 more
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A Frobenius-type theorem for supersolvable groups
Publicationes mathematicae (Debrecen), 1996 Frobenius’ Theorem for p-nilpotent groups is one of the most fundamental theorems in finite group theory. In this paper a Frobenius-type Theorem for supersolvable groups is given by applying strictly p-closed groups, and some applications are obtained ...
Wang Caiyun, Guo Xiuyun
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Известия Иркутского государственного университета: Серия "Математика"The concept of $X$-permutable subgroup, introduced by A. N. Skiba, generalizes the classical concept of a permutable subgroup. Many classes of finite groups have been characterized in terms of $X$-permutable subgroups.
A. A. Galt, V. N. Tyutyanov
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Approximate groups and doubling metrics
, 2012 We develop a version of Freiman's theorem for a class of non-abelian groups, which includes finite nilpotent, supersolvable and solvable A-groups. To do this we have to replace the small doubling hypothesis with a stronger relative polynomial growth ...
Bray +7 more
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Sufficient conditions for the solvability and supersolvability in finite groups
Journal of Pure and Applied Algebra, 1984 A finite group G is called an H-r N-group if i) G has even order and ii) each even-ordered subgroup H of G with \(| H|\) the product of r not necessarily distinct primes, is normal in G. The author proves the following results: 1. If G is an H-2 N-group that does not involve \(A_ 4\), then G is supersolvable. 2. If G is an H-2 N-group or an H-3 N-group
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